{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b254cc0a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.stats import norm\n",
    "import matplotlib as mpl\n",
    "\n",
    "# 设置matplotlib支持中文字体\n",
    "mpl.rcParams['font.sans-serif'] = ['SimHei']  # 指定默认字体\n",
    "mpl.rcParams['axes.unicode_minus'] = False  # 解决保存图像时负号'-'显示为方块的问题\n",
    "\n",
    "# 定义两个信度水平和相关z值计算\n",
    "confidence_levels = [0.95, 0.90]\n",
    "z_values = [norm.ppf(1 - (1 - cl) / 2) for cl in confidence_levels]\n",
    "\n",
    "# 生成标准正态分布的数据\n",
    "x = np.linspace(-3.5, 3.5, 1000)\n",
    "y = norm.pdf(x)\n",
    "\n",
    "# 绘制标准正态分布图\n",
    "plt.figure(figsize=(12, 8))\n",
    "plt.plot(x, y, label='标准正态分布')\n",
    "\n",
    "# 为每个信度水平绘制置信区间和临界值\n",
    "colors = ['gray', 'lightblue']  # 不同信度水平的颜色\n",
    "labels = ['95% 置信水平', '90% 置信水平']\n",
    "\n",
    "for i, z in enumerate(z_values):\n",
    "    plt.fill_between(x, y, where=(x > -z) & (x < z), color=colors[i], alpha=0.5,\n",
    "                     label=f'{labels[i]} (Z值: ±{z:.2f})')\n",
    "    plt.axvline(x=-z, color='r', linestyle='--', alpha=0.75)\n",
    "    plt.axvline(x=z, color='b', linestyle='--', alpha=0.75)\n",
    "\n",
    "# 添加图例，放在图外的右侧\n",
    "plt.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n",
    "\n",
    "# 设置标题和标签\n",
    "plt.title('标准正态分布及不同置信水平的双尾置信区间')\n",
    "plt.xlabel('Z值')\n",
    "plt.ylabel('概率密度')\n",
    "\n",
    "# 显示图表\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ef1e05b4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.stats import norm\n",
    "import matplotlib as mpl\n",
    "\n",
    "# 设置matplotlib支持中文字体\n",
    "mpl.rcParams['font.sans-serif'] = ['SimHei']  # 指定默认字体\n",
    "mpl.rcParams['axes.unicode_minus'] = False  # 解决保存图像时负号'-'显示为方块的问题\n",
    "\n",
    "# 定义两个信度水平和相关z值计算\n",
    "confidence_levels = [0.95, 0.90]\n",
    "z_values = [norm.ppf(cl) for cl in confidence_levels]  # 单尾z值\n",
    "\n",
    "# 生成标准正态分布的数据\n",
    "x = np.linspace(-3.5, 3.5, 1000)\n",
    "y = norm.pdf(x)\n",
    "\n",
    "# 绘制标准正态分布图\n",
    "plt.figure(figsize=(12, 8))\n",
    "plt.plot(x, y, label='标准正态分布')\n",
    "\n",
    "# 为每个信度水平绘制置信区间和临界值\n",
    "colors_right = ['blue', 'lightblue']  # 右尾的颜色\n",
    "colors_left = ['gray', 'lightgray']   # 左尾的颜色\n",
    "labels_right = ['95% 右尾', '90% 右尾']\n",
    "labels_left = ['95% 左尾', '90% 左尾']\n",
    "\n",
    "# 右尾部分\n",
    "for i, z in enumerate(z_values):\n",
    "    plt.fill_between(x, y, where=x > z, color=colors_right[i], alpha=0.5,\n",
    "                     label=f'{labels_right[i]} (Z值: +{z:.2f})')\n",
    "    plt.axvline(x=z, color='b', linestyle='--', alpha=0.75)\n",
    "\n",
    "# 左尾部分\n",
    "for i, z in enumerate(z_values):\n",
    "    plt.fill_between(x, y, where=x < -z, color=colors_left[i], alpha=0.5,\n",
    "                     label=f'{labels_left[i]} (Z值: -{z:.2f})')\n",
    "    plt.axvline(x=-z, color='r', linestyle='--', alpha=0.75)\n",
    "\n",
    "# 添加图例，放在图外的右侧\n",
    "plt.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n",
    "\n",
    "# 设置标题和标签\n",
    "plt.title('标准正态分布及不同置信水平的单尾置信区间')\n",
    "plt.xlabel('Z值')\n",
    "plt.ylabel('概率密度')\n",
    "\n",
    "# 显示图表\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f16291ca",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "拒收方案：样本大小 = 271, 拒收阈值 = 0.130\n",
      "接收方案：样本大小 = 165, 接收阈值 = 0.070\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import norm\n",
    "\n",
    "def calculate_sample_size(p, Z, E):\n",
    "    \"\"\"计算所需的样本大小\"\"\"\n",
    "    n = (Z**2 * p * (1 - p)) / (E**2)\n",
    "    return int(np.ceil(n))\n",
    "\n",
    "def calculate_threshold(p, Z, n, direction='reject'):\n",
    "    \"\"\"计算拒收或接收的阈值\"\"\"\n",
    "    SE = np.sqrt(p * (1 - p) / n)\n",
    "    if direction == 'reject':\n",
    "        return p + Z * SE\n",
    "    else:\n",
    "        return p - Z * SE\n",
    "\n",
    "# 标称次品率、误差界限\n",
    "p = 0.10\n",
    "E = 0.03  # 1%的误差界限\n",
    "\n",
    "# 拒收方案的参数\n",
    "Z_reject = norm.ppf(0.95)  # 单尾，95%置信水平\n",
    "n_reject = calculate_sample_size(p, Z_reject, E)\n",
    "reject_threshold = calculate_threshold(p, Z_reject, n_reject, 'reject')\n",
    "\n",
    "# 接收方案的参数\n",
    "Z_accept = norm.ppf(0.90)  # 单尾，90%置信水平\n",
    "n_accept = calculate_sample_size(p, Z_accept, E)\n",
    "accept_threshold = calculate_threshold(p, Z_accept, n_accept, 'accept')\n",
    "\n",
    "print(f\"拒收方案：样本大小 = {n_reject}, 拒收阈值 = {reject_threshold:.3f}\")\n",
    "print(f\"接收方案：样本大小 = {n_accept}, 接收阈值 = {accept_threshold:.3f}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1f500aac",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.stats import norm\n",
    "# 设置matplotlib支持中文字体\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']  # 指定默认字体\n",
    "plt.rcParams['axes.unicode_minus'] = False  # 解决保存图像时负号'-'显示为方块的问题\n",
    "# Function to calculate sample size based on confidence interval and margin of error\n",
    "def calculate_sample_size(p, Z, E):\n",
    "    n = (Z**2 * p * (1 - p)) / (E**2)\n",
    "    return int(np.ceil(n))\n",
    "\n",
    "# Function to calculate acceptance and rejection thresholds\n",
    "def calculate_threshold(p, Z, n, direction='reject'):\n",
    "    SE = np.sqrt(p * (1 - p) / n)\n",
    "    if direction == 'reject':\n",
    "        return p + Z * SE\n",
    "    else:\n",
    "        return p - Z * SE\n",
    "\n",
    "# Defining parameters\n",
    "p = 0.10\n",
    "error_margin = np.linspace(0.001, 0.03, 10000)  # Error margin from 1% to 5%\n",
    "\n",
    "# Calculating thresholds for reject and accept scenarios at different error margins\n",
    "reject_thresholds = []\n",
    "accept_thresholds = []\n",
    "\n",
    "Z_reject = norm.ppf(0.95)  # Single tail for 95% confidence\n",
    "Z_accept = norm.ppf(0.90)  # Single tail for 90% confidence\n",
    "\n",
    "for E in error_margin:\n",
    "    n_reject = calculate_sample_size(p, Z_reject, E)\n",
    "    n_accept = calculate_sample_size(p, Z_accept, E)\n",
    "    reject_thresholds.append(calculate_threshold(p, Z_reject, n_reject, 'reject'))\n",
    "    accept_thresholds.append(calculate_threshold(p, Z_accept, n_accept, 'accept'))\n",
    "\n",
    "# Plotting\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(error_margin, reject_thresholds, label='拒收阈值')\n",
    "plt.plot(error_margin, accept_thresholds, label='接收阈值')\n",
    "plt.xlabel('误差界限 (%)')\n",
    "plt.ylabel('阈值')\n",
    "plt.title('拒收和接收阈值随误差界限的变化')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
